Exclusive $B\to K^{**} γ$ Decays in the QCD LCSR approach

Abstract

We predict contributions of higher $K$-resonances to the radiative rare decays $b\to sγ$, in the framework of the QCD sum rules on the light cone (LCSR). Our calculations are restricted to the leading twist-two operators for $K^*(892)$ and to the asymptotic wave function for the other $K^{**}$-mesons. Using experimental data on the semileptonic $τ\to K^{**}ν_τ$ decays, we extract the corresponding decay constants for vector and axial-vector $K^{**}$-mesons. We present results for the corresponding branching ratios and compare them with the existing theoretical predictions.